509034 has 16 divisors (see below), whose sum is σ = 1042272. Its totient is φ = 165648.

The previous prime is 509027. The next prime is 509053. The reversal of 509034 is 430905.

It is a super-2 number, since 2×509034² = 518231226312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 509034.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509034.

It is an unprimeable number.

509034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (65142).

2⁵⁰⁹⁰³⁴ is an apocalyptic number.

509034 is an abundant number, since it is smaller than the sum of its proper divisors (533238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509034 is a wasteful number, since it uses less digits than its factorization.

509034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 509034 is about 713.4661870054. The cubic root of 509034 is about 79.8452215719.

Adding to 509034 its reverse (430905), we get a palindrome (939939).

The spelling of 509034 in words is "five hundred nine thousand, thirty-four".